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Multi-Level Modeling of Total Ionizing Dose in a-SiO2: First Principles to Circuits

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The device simulator output (current-vs-voltage curves) supports the Compact Modeling Framework (CMF). The real challenge is how to 'propagate' the detailed physics captured in lower level atomic, process and device modeling to higher level abstractions (circuit/block), and integrate the different views of the system. This chapter provides an introduction to the basic mechanisms of the radiative response of MOS structures.

These changes can be separated into two components: .. the voltage shift due to the charge in the oxide, ∆Vot, and the shift due to interlayer traps, ∆Vit. A number of techniques have been developed, such as sputtering, high density plasma (HDP) chemical vapor deposition (CVD), atmospheric and atmospheric pressure CVD with TEOS/O3 chemistry, low pressure CVD with TEOS/O2 chemistry, or electron beam deposition . The advantages of deposited oxides are: 1) process temperatures can be limited to several hundred degrees Celsius lower than thermal oxidation of silicon, 2) rapid film growth, and 3) flexibility to control density, chemical composition, and voltage. . Our work uses the same foundry as Lenahan el al.[18], SPAWAR System Center, San Diego, CA.

In the next chapter we will investigate the statistical nature of the oxygen vacancy defect. The two sets can also be distinguished in terms of the Si-Si bond distances and energy levels in the positively charged state. The localized energy level is quite deep, almost in the middle of the SiO2 energy gap (∼4.5 eV).

One of the most important effects of radiation on metal oxide semiconductor structures (MOS) is the build-up of positive charge in the oxide regions.

Table Page
Table Page

Total Dose [krad(SiO 2 )]

At these thicknesses there is another tox dependence due to the fact that at larger thicknesses the total number of holes decreases due to reduced fields.

Gate Bias During Irradiation [V]

V t@1Mrad(SiO2) [V]

Total Dose [rad(SiO 2 )]

Oxide Thickness [nm]

V t@1000krad(SiO2) [V]

Gate Bias [V]

If the positive charge builds up further, the oxide bands become concave with the potential minimum for electrons located near the center of gravity of the hole traps, which is near the center of gravity of the electron traps. Beyond this dose, electrons generated throughout the oxide move towards the minimum energy point of the conduction band and become trapped, thus compensating for the positive charge. This methodology is the capstone effort in multi-level modeling of radiative effects, as it "propagates" the detailed physics captured in lower-level atom, process, and device modeling to a higher level, the Compact Model (CM).

Macro models should enable a designer to evaluate systems in the same way regardless of the system's subcomponents. Primitive models consist of base models, and a way to modify and encapsulate their behavior. In addition, interpolation and extrapolation methods can be added to the model if the necessary values ​​have not been calculated beforehand.

If the accuracy depends on the input in the table, a second value can be included in the table to indicate the model accuracy. The purpose of partitioning is to divide a behavior into manageable subparts, listing the most important functions. A basic architecture, or pseudocode, can be outlined of the behavior and components that can be extracted in a list form.

The first step in evaluating the subcomponents of the behavior is to assign each subcomponent to a primitive or composite macro model using various methods. The design of electrical systems for military and aerospace applications must consider the effects of Total Ionizing Dose (TID) and Dose Rate (DR) radiation, as well as Single Event Effects (SEE) on system performance. The meaning of the internal body terminal is the ability to inject charge into the body without body resistance.

This model has the most flexibility in that the charge in the oxide Qox is a variable that can be generated by the device simulator. Both the composite and primitive compact models can be linked to a basic transistor symbol with Total Ionizing Dose as one of the parameters. This allows the use of SPICE's .ST instruction, which allows TD to vary within the simulation, generating a family of curves for the designer to review.

Figure 33: Underlying components of an analog behavioral macromodel for Total Ionizing Dose.
Figure 33: Underlying components of an analog behavioral macromodel for Total Ionizing Dose.

V SUB (V)

This effective potential is due to the nuclei in Ri, and that of the other electrons. It is assumed that the potential depends only on the average charge density of other electrons, given by equation (50). 2∇2Ψi(r) +Unuc(r)Ψi(r) +Uel(r)Ψi(r) +νHFi Ψi(r) =EiΨi(r) (58) Here,νHFi is the average potential experienced by the ithelectron due to for the presence of other electrons.

Improvements to the exchange energy used by LDA can be made by considering the gradient of the density, ρ. The energy band structure for an idealized system where the work function of the metal is In metals, the energy difference between the vacuum level and the Fermi level is called the metal's work function.

Starting with negative bias (VGnegative), the first region of the C-V curve is called accumulation. The saturation of the drain current, IDS, can be checked by the inverse of the charge density, Qi. The surface channel disappears at the downstream end of the channel when saturation occurs, which is called pinch-off.

However, physical properties of the buried oxides differ compared to the thermal oxide. It is also possible that LOCOS isolation can introduce mechanical stress into the active area of ​​the MOSFET, causing device leakage. Their origin is related to large oxygen deposits, or BOX "upwelling" to the top of the wafer.

SOI MOS device physics is dependent on the thickness of the silicon on which it is produced. The effect is related to the build-up of a positive charge in the silicon body of the transistor, which originates from the holes created by impact ionization. To derive the entropy it is necessary to use the partition functions of the system.

For covalently bonded structures, the energy of formation of a vacancy is largely determined by the energy required to "break" the bonds. There is no limit to the number of dimensions or the degree of the polynomial.

Figure 38: Hierarchical Model Development flowchart.
Figure 38: Hierarchical Model Development flowchart.

BCSBVS

Bond Angle Angle from a pair of bonded atoms to another atom, one of the bonded pair being the vertex. Electron density A measure of the "thickness" of the electron cloud at a given location, the probability of the electron's presence. Often described in terms of the x,y,z orientation of the orbital, e.g. 2px where the x is the magnetic quantum number.

Minimal basis set function A basis set that describes only the most basic aspects of the orbitals. Phase One of the three normal states of matter, solid, liquid or gas, depending on the level of organization between particles. Devine, "Microscopic Nature of Border Traps in MOS Oxides", IEEE Transactions on Nuclear Science, vol.

Microscopic structure of the E0δ center in amorphous SiO2: A first principles quantum mechanical investigation”, IEEE Transactions on Nuclear Science, vol. Oldham, "Electronic Structure Theory and Mechanisms of the Oxide Trapped Hole Annealing Process", IEEE Transactions on Nuclear Science, vol. Reisman, "Radiation-Induced Neutral Electron Drop Generation in Electrically Biased Insulated Gate Field-Effect Transistor Gate Insulators", Journal of the Electrochemical Society, vol.

Lannoo, “Theoretical and experimental aspects of the thermal dependence of electron capture coefficients,” Journal of Applied Physics, vol. Lannoo, “Theoretical Calculation of the Electron Capture Cross Section Due to a Dangling Bond at the Si(111)-SiO2Interface,” Physical Review B, vol. McLean, “The nature of the trapped hole annealing process,” IEEE Transactions on Nuclear Science, vol.

Pantelides, "The Structures, Properties, and Dynamics of Oxygen Vacancies in Amorphous SiO2", IEEE Transactions on Nuclear Science, vol. Griscom, "Hydrogen Model for Radiation Induced Interface States in SiO2-on-Si Structures: A Review of the Evidence" , Journal of Electronic Materials, vol Hughes, "A study of the radiation sensitivity of non-crystalline SiO2 films using spectroscopic ellipsometry", IEEE Transactions on Nuclear Science, vol.

Gambar

Figure 1: Design flow for creating integrated circuits using modeling tools.
Figure 2: Cross section of NMOS device with trapped charge in the oxide.
Figure 6: Multiple views of a transistor from the perspective of a) a circuit designer, b) a device engineer, c) a layout engineer, and d) a model development engineer.
Figure 7: Compact multi-level technology/transistor/subsystem modeling.
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